Relevant bibliographies by topics / Equality and inequality constraints

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Equality and inequality constraints'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 February 2022

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Journal articles on the topic "Equality and inequality constraints"

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Revesz, Peter Z. "The Evaluation and the Computational Complexity of Datalog Queries of Boolean Constraint Databases." International Journal of Algebra and Computation 08, no. 05 (October 1998): 553–73. http://dx.doi.org/10.1142/s0218196798000260.

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In the database framework of Kanellakis et al. it was argued that constraint query languages should meet the closed-form requirement, that is, queries should take as input constraint databases and give as output constraint databases that use the same type of constraints. This paper shows that the closed-form requirement can be met for Datalog queries with Boolean equality constraints with double exponential time-complete data complexity, for Datalog queries with precedence and monotone inequality constraints in triple exponential-time data complexity. A closed-form evaluation is also shown for (Stratified) Datalog queries with equality and inequality constraints in atomless Boolean algebras in triple exponential-time data complexity.
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Gao, Xiangyu, Xian Zhang, and Yantao Wang. "A Simple Exact Penalty Function Method for Optimal Control Problem with Continuous Inequality Constraints." Abstract and Applied Analysis 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/752854.

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We consider an optimal control problem subject to the terminal state equality constraint and continuous inequality constraints on the control and the state. By using the control parametrization method used in conjunction with a time scaling transform, the constrained optimal control problem is approximated by an optimal parameter selection problem with the terminal state equality constraint and continuous inequality constraints on the control and the state. On this basis, a simple exact penalty function method is used to transform the constrained optimal parameter selection problem into a sequence of approximate unconstrained optimal control problems. It is shown that, if the penalty parameter is sufficiently large, the locally optimal solutions of these approximate unconstrained optimal control problems converge to the solution of the original optimal control problem. Finally, numerical simulations on two examples demonstrate the effectiveness of the proposed method.
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Mullins, S. H., W. W. Charlesworth, and D. C. Anderson. "A New Method for Solving Mixed Sets of Equality and Inequality Constraints." Journal of Mechanical Design 117, no. 2A (June 1, 1995): 322–28. http://dx.doi.org/10.1115/1.2826142.

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Presented is a general method for solving sets of nonlinear constraints that include inequalities. Inequality constraints are common in engineering design problems, such as kinematic synthesis. The proposed method uses a modified Newton’s method and introduces a slack variable and a slack constraint to convert each inequality into an equality constraint. Singular value decomposition is used to find the pseudo-inverse of the Jacobian at each iteration. Benefits of this method are that constraint scaling is not an issue and that the method often fails gracefully for inconsistent constraint sets by providing direction for modification of the constraints so that an answer can be found. The method is also competitive with others in terms of the number of function evaluations needed to solve a set of problems taken from the literature.
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Gupta, Rekha, and Manjari Srivastava. "Constraint qualifications in nonsmooth multiobjective optimization problem." Filomat 31, no. 3 (2017): 781–97. http://dx.doi.org/10.2298/fil1703781g.

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A multiobjective optimization problem (MOP) with inequality and equality constraints is considered where the objective and inequality constraint functions are locally Lipschitz and equality constraint functions are differentiable. Burachik and Rizvi [J. Optim. Theory Appl. 155, 477-491 (2012)] gave Guignard and generalized Abadie regularity conditions for a differentiable programming problem and derived Karush-Kuhn-Tucker (KKT) type necessary optimality conditions. In this paper, we have defined the nonsmooth versions of Guignard and generalized Abadie regularity conditions given by Burachik and Rizvi and obtained KKT necessary optimality conditions for efficient and weak efficient solutions of (MOP). Further several constraint qualifications sufficient for the above newly defined constraint qualifications are introduced for (MOP) with no equality constraints. Relationships between them are presented and examples are constructed to support the results.
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Cheng, Haifang, Weilai Huang, and Jianhu Cai. "Solving a Fully Fuzzy Linear Programming Problem through Compromise Programming." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/726296.

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In the current literatures, there are several models of fully fuzzy linear programming (FFLP) problems where all the parameters and variables were fuzzy numbers but the constraints were crisp equality or inequality. In this paper, an FFLP problem with fuzzy equality constraints is discussed, and a method for solving this FFLP problem is also proposed. We first transform the fuzzy equality constraints into the crisp inequality ones using the measure of the similarity, which is interpreted as the feasibility degree of constrains, and then transform the fuzzy objective into two crisp objectives by considering expected value and uncertainty of fuzzy objective. Since the feasibility degree of constrains is in conflict with the optimal value of objective function, we finally construct an auxiliary three-objective linear programming problem, which is solved through a compromise programming approach, to solve the initial FFLP problem. To illustrate the proposed method, two numerical examples are solved.
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Li, Mei Xia. "A Class of Augumented Lagrangian Function for Nonlinear Programming." Advanced Materials Research 271-273 (July 2011): 1955–60. http://dx.doi.org/10.4028/www.scientific.net/amr.271-273.1955.

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In this paper, we discuss an exact augumented Lagrangian functions for the non- linear programming problem with both equality and inequality constraints, which is the gen- eration of the augmented Lagrangian function in corresponding reference only for inequality constraints nonlinear programming problem. Under suitable hypotheses, we give the relation- ship between the local and global unconstrained minimizers of the augumented Lagrangian function and the local and global minimizers of the original constrained problem. From the theoretical point of view, the optimality solution of the nonlinear programming with both equality and inequality constraints and the values of the corresponding Lagrangian multipli- ers can be found by the well known method of multipliers which resort to the unconstrained minimization of the augumented Lagrangian function presented in this paper.
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Husain, Iqbal, and Vikas K. Jain. "Nondifferentiable Multiobjective Programming with Equality and Inequality Constraints." Open Journal of Modelling and Simulation 01, no. 02 (2013): 7–13. http://dx.doi.org/10.4236/ojmsi.2013.12002.

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Das, A. K., R. Jana, and Deepmala. "Invex programming problems with equality and inequality constraints." Transactions of A. Razmadze Mathematical Institute 172, no. 3 (December 2018): 361–71. http://dx.doi.org/10.1016/j.trmi.2018.04.001.

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Feppon, F., G. Allaire, and C. Dapogny. "Null space gradient flows for constrained optimization with applications to shape optimization." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 90. http://dx.doi.org/10.1051/cocv/2020015.

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The purpose of this article is to introduce a gradient-flow algorithm for solving equality and inequality constrained optimization problems, which is particularly suited for shape optimization applications. We rely on a variant of the Ordinary Differential Equation (ODE) approach proposed by Yamashita (Math. Program. 18 (1980) 155–168) for equality constrained problems: the search direction is a combination of a null space step and a range space step, aiming to decrease the value of the minimized objective function and the violation of the constraints, respectively. Our first contribution is to propose an extension of this ODE approach to optimization problems featuring both equality and inequality constraints. In the literature, a common practice consists in reducing inequality constraints to equality constraints by the introduction of additional slack variables. Here, we rather solve their local combinatorial character by computing the projection of the gradient of the objective function onto the cone of feasible directions. This is achieved by solving a dual quadratic programming subproblem whose size equals the number of active or violated constraints. The solution to this problem allows to identify the inequality constraints to which the optimization trajectory should remain tangent. Our second contribution is a formulation of our gradient flow in the context of – infinite-dimensional – Hilbert spaces, and of even more general optimization sets such as sets of shapes, as it occurs in shape optimization within the framework of Hadamard’s boundary variation method. The cornerstone of this formulation is the classical operation of extension and regularization of shape derivatives. The numerical efficiency and ease of implementation of our algorithm are demonstrated on realistic shape optimization problems.
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Teo, K. L., and K. H. Wong. "Nonlinearly constrained optimal control problems." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 33, no. 4 (April 1992): 517–30. http://dx.doi.org/10.1017/s0334270000007207.

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AbstractIn a paper by Teo and Jennings, a constraint transcription is used together with the concept of control parametrisation to devise a computational algorithm for solving a class of optimal control problems involving terminal and continuous state constraints of inequality type. The aim of this paper is to extend the results to a more general class of constrained optimal control problems, where the problem is also subject to terminal equality state constraints. For illustration, a numerical example is included.
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Dissertations / Theses on the topic "Equality and inequality constraints"

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Armstrong, Chris. "Complex equality and sexual inequality." Thesis, University of Bristol, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.367936.

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Lopez, lopera Andres Felipe. "Gaussian Process Modelling under Inequality Constraints." Thesis, Lyon, 2019. https://tel.archives-ouvertes.fr/tel-02863891.

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Le conditionnement de processus gaussiens (PG) par des contraintes d’inégalité permet d’obtenir des modèles plus réalistes. Cette thèse s’intéresse au modèle de type PG proposé par maatouk (2015), obtenu par approximation finie, qui garantit que les contraintes sont satisfaites dans tout l’espace. Plusieurs contributions sont apportées. Premièrement, nous étudions l’emploi de méthodes de monte carlo par chaı̂nes de markov pour des lois multinormales tronquées. Elles fournissent un échantillonnage efficacpour des contraintes d’inégalité linéaires. Deuxièmement, nous explorons l’extension du modèle, jusque-làlimité à la dimension trois, à de plus grandes dimensions. Nous remarquons que l’introduction d’un bruit d’observations permet de monter à la dimension cinq. Nous proposons un algorithme d’insertion des nœuds, qui concentre le budget de calcul sur les dimensions les plus actives. Nous explorons aussi la triangulation de delaunay comme alternative à la tensorisation. Enfin, nous étudions l’utilisation de modèles additifs dans ce contexte, théoriquement et sur des problèmes de plusieurs centaines de variables. Troisièmement, nous donnons des résultats théoriques sur l’inférence sous contraintes d’inégalité. La consistance et la normalité asymptotique d’estimateurs par maximum de vraisemblance sont établies. L’ensemble des travaux a fait l’objet d’un développement logiciel en R. Ils sont appliqués à des problèmes de gestion des risques en sûreté nucléaire et inondations côtières, avec des contraintes de positivité et monotonie. Comme ouverture, nous montrons que la méthodologie fournit un cadre original pour l’étude de processus de Poisson d’intensité stochastique
Conditioning Gaussian processes (GPs) by inequality constraints gives more realistic models. This thesis focuses on the finite-dimensional approximation of GP models proposed by Maatouk (2015), which satisfies the constraints everywhere in the input space. Several contributions are provided. First, we study the use of Markov chain Monte Carlo methods for truncated multinormals. They result in efficient sampling for linear inequality constraints. Second, we explore the extension of the model, previously limited up tothree-dimensional spaces, to higher dimensions. The introduction of a noise effect allows us to go up to dimension five. We propose a sequential algorithm based on knot insertion, which concentrates the computational budget on the most active dimensions. We also explore the Delaunay triangulation as an alternative to tensorisation. Finally, we study the case of additive models in this context, theoretically and on problems involving hundreds of input variables. Third, we give theoretical results on inference under inequality constraints. The asymptotic consistency and normality of maximum likelihood estimators are established. The main methods throughout this manuscript are implemented in R language programming.They are applied to risk assessment problems in nuclear safety and coastal flooding, accounting for positivity and monotonicity constraints. As a by-product, we also show that the proposed GP approach provides an original framework for modelling Poisson processes with stochastic intensities
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Kwong, Sunny Kai-Sun. "Price-sensitive inequality measurement." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/25807.

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The existing inequality indexes in the economics literature (including the more sophisticated indexes of Muellbauer (1974) and Jorgenson-Slesnick (1984)), are found to be insensitive to relative price changes or are unjustifiable in terms of social evaluation ethics or both. The present research fills this gap in the literature by proposing a new index, named the Individual Equivalent Income (IEI) index. A household indirect utility function is hypothesized which incorporates certain attribute parameters in the form of equivalence scales. These attributes are demographic and environmental characteristics specific to a given household. This indirect utility function gives a number which represents the utility of each member of the household. A particular level of interpersonal comparison of utilities is assumed which gives rise to an exact individual utility indicator named equivalent income. A distribution of these equivalent incomes forms the basis of a price-sensitive relative inequality index. This index can be implemented in the Canadian context. Preferences are assumed to be nonhomothetic translog and demand data are derived from cross-section surveys and time-series aggregates. Based on demand data, the translog equivalent income function can be estimated and equivalent incomes imputed to all individuals in society. An Atkinson index of equivalent incomes is then computed to indicate the actual degree of inequality in Canada. The new IEI index is compared with other indexes based on a common data set. The main findings are: conventional indexes give bad estimates of the true extent of inequality and the IEI index, while providing a more accurate estimate, indicates distributive price impact in a predictable manner, i.e., food price inflation aggravates while transportation price inflation ameliorates the inequality problem.
Arts, Faculty of
Vancouver School of Economics
Graduate
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Burchard, Almut. "Cases of equality in the riesz rearrangement inequality." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/29194.

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Voitchovsky, Sarah. "Inequality and growth." Thesis, University of Oxford, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.670079.

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Furuichi, Satomi. "On understanding racial inequality in Brazil /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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Leong, Yee-tak Yvonne. "Housing, planning and social inequality in Hong Kong /." Hong Kong : University of Hong Kong, 1995. http://sunzi.lib.hku.hk/hkuto/record.jsp?B14786813.

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Li, Jun. "The legitimation of inequality in transitional urban China /." View abstract or full-text, 2009. http://library.ust.hk/cgi/db/thesis.pl?SOSC%202009%20LI.

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Brahmantio, Bayu Beta. "Efficient Sampling of Gaussian Processes under Linear Inequality Constraints." Thesis, Linköpings universitet, Statistik och maskininlärning, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-176246.

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In this thesis, newer Markov Chain Monte Carlo (MCMC) algorithms are implemented and compared in terms of their efficiency in the context of sampling from Gaussian processes under linear inequality constraints. Extending the framework of Gaussian process that uses Gibbs sampler, two MCMC algorithms, Exact Hamiltonian Monte Carlo (HMC) and Analytic Elliptical Slice Sampling (ESS), are used to sample values of truncated multivariate Gaussian distributions that are used for Gaussian process regression models with linear inequality constraints. In terms of generating samples from Gaussian processes under linear inequality constraints, the proposed methods generally produce samples that are less correlated than samples from the Gibbs sampler. Time-wise, Analytic ESS is proven to be a faster choice while Exact HMC produces the least correlated samples.
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Morrow, John Miles. "Structural change and inequality skill premia, firm selection and political consequences /." [Madison, Wis. : University of Wisconsin--Madison], 2010. http://digital.library.wisc.edu/1793/43939.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 2010.
Digitized and made available by the University of Wisconsin Digital Collections Center as part of Minds@UW. WU Includes bibliographical references (p. 86-94).
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Books on the topic "Equality and inequality constraints"

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Temkin, Larry S. Inequality. New York: Oxford University Press, 1993.

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Otsuka, Michael. Libertarianism without inequality. Oxford: Clarendon, 2005.

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Housing Studies Association (Great Britain), ed. Housing and inequality. Coventry: Chartered Institute of Housing, 2011.

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Libertarianism without inequality. Oxford: Clarendon, 2003.

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Glaeser, Edward L. The injustice of inequality. Cambridge, MA: National Bureau of Economic Research, 2002.

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Glaeser, Edward L. Inequality. Cambridge, Mass: National Bureau of Economic Research, 2005.

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Glaeser, Edward L. Inequality. Cambridge, MA: National Bureau of Economic Research, 2005.

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Sen, Amartya Kumar. On economic inequality. Delhi: Oxford University Press, 1998.

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Globalization and inequality. New Delhi: Deep & Deep Publications, 2011.

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Sen, Amartya Kumar. On economic inequality. Oxford: Clarendon Press, 1997.

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Book chapters on the topic "Equality and inequality constraints"

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Górecki, Henryk. "Extrema Subject to Equality and Inequality Constraints." In Optimization and Control of Dynamic Systems, 275–96. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62646-8_7.

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El-Hodiri, Mohamed Ali. "The Problem of Bolza with Equality-Inequality Constraints." In Extrema of Smooth Functions, 128–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-76793-7_6.

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Bonnans, J. Frédéric, J. Charles Gilbert, Claude Lemaréchal, and Claudia A. Sagastizábal. "Local Methods for Problems with Equality and Inequality Constraints." In Universitext, 203–15. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05078-1_13.

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Ascher, Uri M. "Numerical Methods for Differential Systems with Algebraic Equality and Inequality Constraints." In Hybrid Systems: Computation and Control, 3. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45873-5_2.

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Strekalovsky, Alexander S. "Local Search for Nonsmooth DC Optimization with DC Equality and Inequality Constraints." In Numerical Nonsmooth Optimization, 229–61. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34910-3_7.

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Arumugam, Prakash, and Anand Rajendran. "Global Optimization Algorithm to Solve Economic Load Dispatch Problem Considering Equality and Inequality Constraints." In Lecture Notes in Electrical Engineering, 381–93. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2256-7_37.

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Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. "A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems." In Numerical and Evolutionary Optimization – NEO 2017, 29–61. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96104-0_2.

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El-Hodiri, Mohamed Ali. "Equality Constraints." In Extrema of Smooth Functions, 23–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-76793-7_2.

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Borwein, Jonathan M., and Adrian S. Lewis. "Inequality Constraints." In Convex Analysis and Nonlinear Optimization, 15–32. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-9859-3_2.

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Patriquin, Larry. "Equality and Inequality." In Economic Equality and Direct Democracy in Ancient Athens, 37–58. New York: Palgrave Macmillan US, 2015. http://dx.doi.org/10.1057/9781137503480_4.

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Conference papers on the topic "Equality and inequality constraints"

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Sridhar, Natarajan, Rajiv Agrawal, and Gary L. Kinzel. "A Methodology to Handle Inequality Constraints in an Interactve Design Process." In ASME 1991 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/cie1991-0048.

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Abstract The treatment of mechanical design as a constraint management problem has long been related to equality constraints. Work involving inequality constraints has been generally restricted to optimization and symbolic computation. This paper presents a methodology for handling inequality constraints in an interactive mechanical design process. The presented method is similar to the basis interchange algorithm used in the Generalized Reduced Gradient (GRG) method for constrained nonlinear optimization. The main difference is that our method relies on user guidance to select which specification has to be changed in order to satisfy the violated inequality constraint. Also, the specification is only adjusted; unlike the procedure in the GRG method where the basis is changed. An inequality constraint violation is detected whenever the corresponding slack variable becomes negative. An occurrence-matrix formulation is used to represent both the equality and inequality constraints that govern the design. The work is illustrated for the classical weldment design problem.
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Sridhar, Natarajan, Rajiv Agrawal, and Gary L. Kinzel. "An Automatic Approach to Handling Inequality Constraints in an Interactive Design Environment." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0089.

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Abstract A general mechanical design can be characterized by a set of equality and inequality constraints. Constraint Management algorithms have been successfully applied for the satisfaction of equality constraints. The goal of this paper is to extend the ideas of constraint management to handle inequality constraints. Past research shows that the handling of inequality constraints has been restricted to optimization and symbolic frameworks. As opposed to the traditional optimization schemes in which all the inequality constraints are converted to equalities, our approach introduces slack variables for only those inequalities that are active at that particular stage of the design process. The basic premise governing the algorithm presented in this paper is to satisfy a set of inequality constraints while deviating as little as possible from the given design specifications. An occurrence matrix formulation is used to represent both the equality and inequality constraints that govern the design. A linear model of the design, based on sensitivity computations, is used to automate the procedure. The work is illustrated for the classical weldment design problem.
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Hosseini, Ali, and Mehdi Keshmiri. "Optimal Path Planning of Redundant Cooperative Robots Under Equality and Inequality Constraints." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-42100.

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Using kinematic resolution, the optimal path planning for two redundant cooperative manipulators carrying a solid object on a desired trajectory is studied. The optimization problem is first solved with no constraint. Consequently, the nonlinear inequality constraints, which model obstacles, are added to the problem. The formulation has been derived using Pontryagin Minimum Principle and results in a Two Point Boundary Value Problem (TPBVP). The problem is solved for a cooperative manipulator system consisting of two 3-DOF serial robots jointly carrying an object and the results are compared with those obtained from a search algorithm. Defining the obstacles in workspace as functions of joint space coordinates, the inequality constrained optimization problem is solved for the cooperative manipulators.
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Lin, Wen-Ting, Yan-Wu Wang, and Jiang-Wen Xiao. "Distributed Optimization with Multiple Linear Equality Constraints and Convex Inequality Constraints." In 2019 Chinese Control And Decision Conference (CCDC). IEEE, 2019. http://dx.doi.org/10.1109/ccdc.2019.8832744.

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Kale, Vaibhav, Vikram Bapat, and Bernie Bettig. "Geometric Constraint Solving With Solution Selectors." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-50113.

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Current parametric CAD systems are based on solving equality type of constraints between geometric objects and parameters. This includes algebraic equations constraining the values of variables, and geometric constraints, constraining the positions of geometric objects. However, to truly represent design intent, next-generation CAD systems must also allow users to input other types of constraints such as inequality constraints. Inequality constraints are expressed as inequality expressions on variables or as geometric constraints that force geometric objects to be on specific sides or have specific orientations with respect to other objects. To solve problems involving constraints, we use a graph-based constraint solving algorithm that can be used in CAD/CAM/CAE applications. This graph-based constraint solving algorithm, called the Modified Frontier Algorithm with Solution Selection (MFASS), has been implemented at Michigan Technological University to solve equality based constraints in a CAD/CAM/CAE testbed application. The objective of this research was to investigate whether the Frontier Algorithm can be extended to solve geometry positioning problems involving systems of equality and inequality based declarations in which the inequality based declaration are used as solution selectors to choose from multiple solutions inherently arising from these systems. It is hypothesized that these systems can be decomposed by the Frontier Algorithm in a manner similar to purely equality-based constraint systems however they require tracking and iterating through solutions and in many cases may require backtracking through the solution sequence. This capitalizes on the strength of the Frontier Algorithm which solves only one small subsystem at a time with resulting short processing times compared to alternative algorithms. In this research we generate a new algorithm/DR planner for handling inequality constraints, both theoretically and through implementation in a testbed to demonstrate the working of the algorithm.
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Masubuchi, Izumi, Takayuki Wada, Nguyen Thi Hoai Linh, Toru Asai, Yuzo Ohta, and Yasumasa Fujisaki. "Distributed optimization with equality and inequality constraints with delayed information of feasibility." In 2015 10th Asian Control Conference (ASCC). IEEE, 2015. http://dx.doi.org/10.1109/ascc.2015.7244510.

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Saab, L., N. Mansard, F. Keith, J.-Y. Fourquet, and P. Soueres. "Generation of dynamic motion for anthropomorphic systems under prioritized equality and inequality constraints." In 2011 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2011. http://dx.doi.org/10.1109/icra.2011.5980384.

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Minghui Zhu and Sonia Martinez. "On distributed optimization under inequality and equality constraints via penalty primal-dual methods." In 2010 American Control Conference (ACC 2010). IEEE, 2010. http://dx.doi.org/10.1109/acc.2010.5530577.

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LeiFu Gao, Cui Xing, and WanDong Lv. "The sample approximation method for the stochastic variational inequality problem with equality constraints." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5622884.

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Biswas, M. H. A., and MdR de Pinho. "Maximum principle for state and mixed constrained problems with equality and inequality mixed constraints: Convex case." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825572.

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Reports on the topic "Equality and inequality constraints"

1

Briessen, B., and N. Sadegh. A fast and Robust Algorithm for general inequality/equality constrained minimum time problems. Office of Scientific and Technical Information (OSTI), December 1995. http://dx.doi.org/10.2172/225042.

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2

Hai, Rong, and James Heckman. Inequality in Human Capital and Endogenous Credit Constraints. Cambridge, MA: National Bureau of Economic Research, December 2016. http://dx.doi.org/10.3386/w22999.

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3

Borraz, Fernando, Alberto Cavallo, Roberto Rigobon, and Leandro Zipitría. Distance and Political Boundaries: Estimating Border Effects under Inequality Constraints. Cambridge, MA: National Bureau of Economic Research, June 2012. http://dx.doi.org/10.3386/w18122.

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4

Walker, Jo, Caroline Pearce, Kira Boe, and Max Lawson. The Power of Education to Fight Inequality: How increasing educational equality and quality is crucial to fighting economic and gender inequality. Oxfam, September 2019. http://dx.doi.org/10.21201/2019.4931.

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5

Bloom, David E., Victoria Y. Fan, Vadim Kufenko, Osondu Ogbuoji, Klaus Prettner, and Gavin Yamey. Going beyond GDP with a parsimonious indicator: inequality-adjusted healthy lifetime income. Verlag der Österreichischen Akademie der Wissenschaften, March 2021. http://dx.doi.org/10.1553/populationyearbook2021.res1.1.

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Per capita GDP has limited use as a well-being indicator because it does notcapture many dimensions that imply a “good life”, such as health and equality ofopportunity. However, per capita GDP has the virtues of being easy to interpret andto calculate with manageable data requirements. Against this backdrop, there is aneed for a measure of well-being that preserves the advantages of per capita GDP,but also includes health and equality. We propose a new parsimonious indicatorto fill this gap, and calculate it for 149 countries. This new indicator could beparticularly useful in complementing standard well-being indicators during theCOVID-19 pandemic. This is because (i) COVID-19 predominantly affects olderadults beyond their prime working ages whose mortality and morbidity do notstrongly affect GDP, and (ii) COVID-19 is known to have large effects on inequalityin many countries.
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6

DeJaeghere, Joan, Vu Dao, Bich-Hang Duong, and Phuong Luong. Inequalities in Learning in Vietnam: Teachers’ Beliefs About and Classroom Practices for Ethnic Minorities. Research on Improving Systems of Education (RISE), February 2021. http://dx.doi.org/10.35489/bsg-rise-wp_2021/061.

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Global and national education agendas are concerned with improving quality and equality of learning outcomes. This paper provides an analysis of the case of Vietnam, which is regarded as having high learning outcomes and less inequality in learning. But national data and international test outcomes may mask the hidden inequalities that exist between minoritized groups and majority (Kinh) students. Drawing on data from qualitative videos and interviews of secondary teachers across 10 provinces, we examine the role of teachers’ beliefs, curricular design and actions in the classroom (Gale et al., 2017). We show that teachers hold different beliefs and engage in curricular design – or the use of hegemonic curriculum and instructional practices that produce different learning outcomes for minoritized students compared to Kinh students. It suggests that policies need to focus on the social-cultural aspects of teaching in addition to the material and technical aspects.
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Smyth, Ines. Transformative Leadership for Women's Rights (TLWR): Lessons and recommendations from Oxfam's experiences. Oxfam, April 2018. http://dx.doi.org/10.21201/2018.2289.

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The aim of promoting gender equality and women’s rights as integral parts of development efforts is enshrined in the key strategies and plans of many organizations. This is the case for the individual affiliates that comprise Oxfam International (OI), and the Oxfam confederation as a whole. This report sets out to assist Oxfam to better understand and learn from the Confederation’s work in this area to date. The purpose of the report is to provide an initial mapping of work on transformative leadership for women's rights (TLWR) in order to offer suggestions, impetus and a programmatic framework for the development of an ambitious global program on TLWR. It is intended to complement and drive Oxfam’s efforts to bring about the transformation of the pervasive gender inequality that limits women’s wellbeing, confidence and potential, reproduces negative masculinity traits, and contributes to the inequity dominant in contemporary societies.
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